With XIVV, I loved being able to mash through a sidequest starting dialogue and listen to the NPC's story on my way to collect/slay/talk to the objectives. Would like that option here as well.
Outside my slightly weird use case, this would also help a bit with the couple-second delay for fetching each cutscene voice line from the server, since I could just click a bit before the voice line ends and let the system start loading the next line.